0.01/10.428 *10^-5

asked by guest
on Nov 25, 2024 at 7:40 pm



You asked:

Evaluate the expression: 0.0110.428⋅10−5\frac{0.01}{10.428} \cdot {10}^{-5}

MathBot Answer:

0.0110.428⋅10−5=1104280000=0.00000000958956655159186804756425‾\frac{0.01}{10.428} \cdot {10}^{-5} = \frac{1}{104280000} = 0.000000\overline{00958956655159186804756425}

0.0110.428⋅10−5=110010.428⋅10−5=11002607250⋅10−5=55214⋅10−5=55214⋅1100000=1104280000\begin{aligned}\frac{0.01}{10.428} \cdot {10}^{-5}&=\frac{\frac{1}{100}}{10.428} \cdot {10}^{-5}\\&=\frac{\frac{1}{100}}{\frac{2607}{250}} \cdot {10}^{-5}\\&=\frac{5}{5214} \cdot {10}^{-5}\\&=\frac{5}{5214} \cdot \frac{1}{100000}\\&=\frac{1}{104280000}\end{aligned}

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